Results 31 to 40 of about 406,011 (306)
On the principal bifurcation branch of a third order nonlinear long-wave equation
We study the principal bifurcation curve of a third order equation which describes the nonlinear evolution of several systems with a long--wavelength instability. We show that the main bifurcation branch can be derived from a variational principle.
Benguria R D +19 more
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On the Geometry of the Liapunov-Schmidt Procedure [PDF]
The lectures presented by the author are not reproduced here since that material is available in J. Marsden, Qualitative Methods in Bifurcation Theory, Bull. Am. Math. Soc. 84 (1978), 1125–1148, R. Abraham and J. Marsden, Foundations of Mechanics, Second
Marsden, Jerrold E.
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We present a bifurcation analysis of a normal form for travelling waves in one-dimensional excitable media. The normal form which has been recently proposed on phenomenological grounds is given in form of a differential delay equation.
Georg A. Gottwald +5 more
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Onset of convection in a finite two-dimensional container due to unipolar injection of ions [PDF]
This work addresses the stability of a two-dimensional plane layer of a dielectric liquid enclosed in wall bounded cavities of different aspect ratios and subjected to unipolar injection of ions. Numerical simulations have been conducted to investigate
Pérez Izquierdo, Alberto Tomás +3 more
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In this research, we look at the Julia set patterns that are linked to the entire transcendental function f(z)=aezn+bz+c, where a,b,c∈C and n≥2, using the Mann iterative scheme, and discuss their dynamical behavior.
Darshana J. Prajapati +4 more
doaj +1 more source
Symmetry-breaking instabilities of convection in squares [PDF]
Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated horizontally ...
Rucklidge, A.M.
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Temporal Trends in Complex Percutaneous Coronary Interventions
BackgroundAccumulated experience combined with technological advancements in percutaneous coronary interventions (PCI) over the past four decades, has led to a gradual increase in PCI utilization and complexity.
Mark Kheifets +23 more
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Global bifurcation for the Whitham equation
We prove the existence of a global bifurcation branch of $2\pi$-periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the global branch contains a sequence which converges uniformly to some ...
Ehrnstrom, Mats, Kalisch, Henrik
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At low cell density, SETDB1 and YAP1 accumulate in the nucleus. As cell density increases, the Hippo pathway is gradually activated, and SETDB1 is associated with increased YAP1 phosphorylation. At high cell density, phosphorylated YAP1 is sequestered in the cytoplasm, while SETDB1 becomes polyubiquitinated and degraded by the ubiquitin–proteasome ...
Jaemin Eom +3 more
wiley +1 more source
A blue sky catastrophe in double-diffusive convection
A global bifurcation of the blue sky catastrophe type has been found in a small Prandtl number binary mixture contained in a laterally heated cavity. The system has been studied numerically applying the tools of bifurcation theory.
E. Knobloch +9 more
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